Two marks on a glass rod $10\, cm$ apart are found to increase their distance by $0.08\, mm$ when the rod is heated from $0\,^oC$ to $100\,^oC$. A flask made of the same glass as that of rod measures a volume $1000\, cc$ at $0\,^oC$. The volume it measures at $100\,^oC$ in $cc$ is
Two marks on a glass rod $10\, cm$ apart are found to increase their distance by $0.08\, mm$ when the rod is heated from $0\,^oC$ to $100\,^oC$. A flask made of the same glass as that of rod measures a volume $1000\, cc$ at $0\,^oC$. The volume it measures at $100\,^oC$ in $cc$ is
- A
$1002.4$
- B
$1004.2$
- C
$1006.4$
- D
$1008.2$
Similar Questions
A rod of length $20\, cm$ is made of metal. It expands by $0.075cm$ when its temperature is raised from $0°C$ to $100°C.$ Another rod of a different metal $B$ having the same length expands by $0.045 \,cm$ for the same change in temperature. $A$ third rod of the same length is composed of two parts, one of metal $A$ and the other of metal $B$. This rod expands by $0.060\, cm$ for the same change in temperature. The portion made of metal $A$ has the length ........ $cm$
A rod of length $20\, cm$ is made of metal. It expands by $0.075cm$ when its temperature is raised from $0°C$ to $100°C.$ Another rod of a different metal $B$ having the same length expands by $0.045 \,cm$ for the same change in temperature. $A$ third rod of the same length is composed of two parts, one of metal $A$ and the other of metal $B$. This rod expands by $0.060\, cm$ for the same change in temperature. The portion made of metal $A$ has the length ........ $cm$
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The coefficient of linear expansion of a crystalline substance in one direction is $2 \times 10^{-4} /{ }^{\circ} C$ and in every direction perpendicular to it is $3 \times 10^{-4} /{ }^{\circ} C$. The coefficient of cubical expansion of crystal is equal to ........... $\times 10^{-4} /{ }^{\circ} C$
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A steel rod with ${y}=2.0 \times 10^{11} \,{Nm}^{-2}$ and $\alpha=10^{-5}{ }^{\circ} {C}^{-1}$ of length $4\, {m}$ and area of cross-section $10\, {cm}^{2}$ is heated from $0^{\circ} {C}$ to $400^{\circ} {C}$ without being allowed to extend. The tension produced in the rod is ${x} \times 10^{5} \, {N}$ where the value of ${x}$ is ....... .
- [JEE MAIN 2021]
A thin rod having a length of $1\; m$ and area of cross-section $3 \times 10^{-6}\,m ^2$ is suspended vertically from one end. The rod is cooled from $210^{\circ}\,C$ to $160^{\circ}\,C$. After cooling, a mass $M$ is attached at the lower end of the rod such that the length of rod again becomes $1\,m$. Young's modulus and coefficient of linear expansion of the rod are $2 \times 10^{11} Nm ^{-2}$ and $2 \times 10^{-5} K ^{-1}$, respectively. The value of $M$ is $.......kg .\left(\right.$ Take $\left.g=10\,m s ^{-2}\right)$
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- [JEE MAIN 2023]